Mr. Trump’s decision to reject every long-shot plan to save the Senate seatreflects the imperative that an unpopular president faces to retain his political base, a determination that he should follow his own instincts after having felt steered into a disastrous earlier endorsement in the Alabama race, and even his insistence that he himself has been the victim of false accusations of sexual misconduct.

.. the president has handed the Democrats a political weapon with which to batter Republicans

.. What the president did not foresee was that the friction would reach inside his immediate family. He vented his annoyance when his daughter Ivanka castigated Mr. Moore by saying there was “a special place in hell for people who prey on children,”

.. He sees the calls for Mr. Moore to step aside as a version of the response to the now-famous “Access Hollywood” tape

.. He suggested to a senator earlier this year that it was not authentic, and repeated that claim to an adviser more recently. (In the hours after it was revealed in October 2016, Mr. Trump acknowledged that the voice was his, and he apologized.)

.. Privately, Mr. Trump has acknowledged that he is making a cold political calculus in the hope that the Republicans will hold on to the seat.

.. The Senate leader has told fellow Republicans in private that Mr. Moore’s nomination has endangered the party’s hold on the Senate

.. Stephen K. Bannon, began aggressively urging Mr. Trump not to break with Mr. Moore, arguing that he should not get crosswise with his voter base

.. “Our recommendation is to combine Steps 1 and 2: Strange resigns; the governor fills the vacancy with a new appointee; and the governor delays the special election to give the new appointee time to run as an independent candidate,” the lawyers wrote.

.. Mr. Moore’s campaign is thrilled to have the president’s tacit support and is promising to highlight it.

“We’re going to make it clear to the voters of Alabama that Roy Moore is the candidate to help President Trump get a conservative Supreme Court and cut taxes,